12108801600 has 567 divisors, whose sum is σ = 50449162881. Its totient is φ = 2746598400.

The previous prime is 12108801583. The next prime is 12108801611. The reversal of 12108801600 is 610880121.

The square root of 12108801600 is 110040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4359168576 + 7749633024 = 66024^2 + 88032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 92433535 + ... + 92433665.

Almost surely, 2^12108801600 is an apocalyptic number.

12108801600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12108801600 is the 110040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12108801600

12108801600 is an abundant number, since it is smaller than the sum of its proper divisors (38340361281).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12108801600 is a wasteful number, since it uses less digits than its factorization.

12108801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12108801600 in words is "twelve billion, one hundred eight million, eight hundred one thousand, six hundred".